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slavikrds [6]
3 years ago
11

A certain store has a fax machine available for use by customers. The store charges $1.70 to send the first page and $0.55 for e

ach subsequent page. Use an inequality to find the maximum number of pages that can be faxed for $6.10
Mathematics
1 answer:
kolbaska11 [484]3 years ago
8 0
We need to develop an inequality that would calculate the minimum number of pages that can be faxed for the total amount of $6.10 given that the first page was charged $1.70 and $0.55 for the subsequent pages.

Let x represents the subsequent pages, such that the inequality is shown below:
$6.10 > $0.55X + $1.70.

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At what rate per annum ci will RS 2000 amount to RS 2315.35 in 3 years
Mashutka [201]

<u>ANSWER: </u>

Rate per annum at which CI will amount from RS 2000 to RS 2315.35 in 3 years is 5%

<u>SOLUTION: </u>

Given,  

P = RS 2000

C.I = RS 2315.35

T = 3 years

We need to find the rate per annum. i.e. R = ?

We know that,  

When interest is compound Annually:

Amount $=\mathrm{P}\left(1+\frac{\mathrm{R}}{100}\right)^{n}$

Where p = principal amount

r = rate of interest

n = number of years

$2315.35=2000 \times\left(1+\frac{R}{100}\right)^{3}$

$\left(1+\frac{R}{100}\right)^{3}=\frac{2315.35}{2000}$

$\left(1+\frac{R}{100}\right)^{3}=1.157$

$1+\frac{R}{100}=\sqrt[3]{1.157}$

$1+\frac{R}{100}=1.0500$

$\frac{R}{100}=1.05-1$

$\frac{R}{100}=0.05$

R = 5%

Hence, rate per annum is 5 percent.

3 0
3 years ago
Given the midpoint (1.5,1.5) and the endpoint (5,7) where is the other endpoint located
earnstyle [38]

The formula of a midpoint:

M_{AB}\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)

We have:

M(1.5,\ 1.5)\to x_M=1.5,\ y_M=1.5\\A(5,\ 7)\to x_A=5,\ y_A=7

Substitute

\dfrac{5+x_B}{2}=1.5\qquad|\cdot2\\\\5+x_B=3\qquad|-5\\\\x_B=-2\\\\\dfrac{7+y_B}{2}=1.5\qquad|\cdot2\\\\7+y_B=3\qquad|-7\\\\y_B=-4

<h3>Answer: (-2, -4)</h3>
8 0
3 years ago
What is the value of x in the proportion below? 8/72 = x/36
barxatty [35]

Answer:

x = 4

Step-by-step explanation:

8/72 = x/36

crossmultiply

8 x 36 = X x 72

288 = 72x

divide both sides by 72

288/72 = x

therefore , x = 4

3 0
3 years ago
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Divide : 5 ( 2X+1 ) ( 3X+5 ) ÷ ( 2X+1 )​
lesantik [10]

Answer:

15x+25

Step-by-step explanation:

cancel out (2x+1) you'll be left with 5(3x+5)

when multiply 5 by 3x+5

6 0
2 years ago
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Alex Ar [27]

Answer:

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Step-by-step explanation:

Take the part over the whole

3/9

We can simplify

Divide the top and bottom by 3

1/3

4 0
3 years ago
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